The figure shows a parallelogram. Find
- ∠m
- ∠k
- ∠j
(a)
∠PSQ
= 180° - 38° - 62°
= 80° (Angles sum of triangle)
∠m = ∠PSQ = 80° (Vertically opposite angles)
(b)
∠k = ∠PNQ = 60° (Alternate angles)
(c)
∠QSP = ∠m = 80° (Vertically opposite angles)
∠j
= 80° - 60°
= 20° (Exterior angle of a triangle)
Answer(s): (a) 80°; (b) 60°; (c) 20°